Convex polynomial and spline approximation in \(L_ p, 0

DOI10.1007/BF02433051zbMath0854.41008OpenAlexW4249392720MaRDI QIDQ1923850

Ronald A. DeVore, Yingkang Hu, Dany Leviatan

Publication date: 13 October 1996

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02433051

zbMATH Keywords

constrained approximation in \(L_ p\)degree of convex approximation

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation with constraints (41A29) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)

Related Items (5)

Weak copositive and interwining approximation ⋮ Nearly monotone and nearly convex approximation by smooth splines in \(\mathbb L_p, p>0\) ⋮ Approximation of Sobolev-type classes with quasi-seminorms ⋮ Shape-preserving approximation by polynomials ⋮ Univariate splines: Equivalence of moduli of smoothness and applications

Cites Work

• Polynomial approximation in \(L_ p (O<p<1)\)
• Convex polynomial approximation in \(L_ p\) \((0<p<1)\)
• Convex polynomial and spline approximation in \(C[-1,1\)]
• Pointwise and uniform estimates for convex approximation of functions by algebraic polynomials
• On convex approximation by quadratic splines
• Maximal functions measuring smoothness
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